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		<title>Gbachelier: Die Seite wurde neu angelegt: „ == Reference == Donald W. Crowe: Symmetries of Culture. In: Bridges 2001. Pages 1–20   == DOI ==  == Abstract == Plane patterns, both one-color and …“</title>
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		<summary type="html">&lt;p&gt;Die Seite wurde neu angelegt: „ == Reference == Donald W. Crowe: &lt;a href=&quot;/index.php?title=Symmetries_of_Culture&quot; title=&quot;Symmetries of Culture&quot;&gt;Symmetries of Culture&lt;/a&gt;. In: &lt;a href=&quot;/index.php?title=Bridges_2001&quot; title=&quot;Bridges 2001&quot;&gt;Bridges 2001&lt;/a&gt;. Pages 1–20   == DOI ==  == Abstract == Plane patterns, both one-color and …“&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Neue Seite&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;br /&gt;
== Reference ==&lt;br /&gt;
Donald W. Crowe: [[Symmetries of Culture]]. In: [[Bridges 2001]]. Pages 1–20 &lt;br /&gt;
&lt;br /&gt;
== DOI ==&lt;br /&gt;
&lt;br /&gt;
== Abstract ==&lt;br /&gt;
Plane patterns, both one-color and two-color, can be naturally classified according to the symmetries they admit. In this survey&lt;br /&gt;
the symmetries of the plane, and the resulting classification of patterns, are described. Following the lead of A. Speiser and E.&lt;br /&gt;
Mueller the author studied patterns in various African contexts, and in the American Southwest, culminating in the book&lt;br /&gt;
Symmetries of Culture with Dorothy Washburn. The results of field trips to Fiji and Tonga, applying the techniques from that&lt;br /&gt;
book, are described and illustrated.&lt;br /&gt;
&lt;br /&gt;
== Extended Abstract ==&lt;br /&gt;
&lt;br /&gt;
== Bibtex == &lt;br /&gt;
&lt;br /&gt;
== Used References ==&lt;br /&gt;
[1] G. W. Brainerd, Symmetry in primitive conventional design, American Antiquity 8(2),164-66,1942.&lt;br /&gt;
&lt;br /&gt;
[2] D. W. Crowe, The geometry of African art. Part 1. Bakuba art, Journal of Geometry 1,169-182,1971.&lt;br /&gt;
&lt;br /&gt;
[3] D.W. Crowe, The geometry of African art. Part 2. A catalog of Benin patterns, Historia Mathematica 2, 253-271,&lt;br /&gt;
1975.&lt;br /&gt;
&lt;br /&gt;
[4] D.W. Crowe, The geometry of African art. Part 3. The smoking pipes of Begho, in The Geometric_Vein: The&lt;br /&gt;
Coxeter Festschrift, edited by C. Davis, B. GrUnbaum, and F. A. Sherk, 177-189, New York: Springer, 1982.&lt;br /&gt;
&lt;br /&gt;
[5] D.W. Crowe, The mosaic patterns of H. J Woods, in Symmetry: Unifying Human Understanding, edited by 1.&lt;br /&gt;
Hargittai, 407-411, New York:, Pergamon, 1986.&lt;br /&gt;
&lt;br /&gt;
[6] D.W. Crowe, Tongan symmetries, in Science of Pacific Island Peoples, Part IV, Education, LangUage, Patterns&lt;br /&gt;
and Policy, edited by J. Morrison, P. Geraghty, and L. Crowl, Suva:Institute of Pacific Studies, 1994.&lt;br /&gt;
&lt;br /&gt;
[7] D. W. Crowe and D. K. Washburn, Groups and geometry in the ceramic art of San Ildefonso, Algebras, Groups&lt;br /&gt;
and Geometries 3(2), 263-277, 1985.&lt;br /&gt;
&lt;br /&gt;
[8] D. W. Crowe and D. Nagy, Cakaudrove-style masi kesa of Fiji, Ars Textrina 18, 119-155, 1992.&lt;br /&gt;
&lt;br /&gt;
[9] D. W. Crowe and R. Torrence, Admiralty Islands spear decorations: A minicatalog ofpmm patterns, Symmetry:&lt;br /&gt;
Culture and Science 4(4), 385-396, 1993.&lt;br /&gt;
&lt;br /&gt;
[10] R. Ewins, Symmetry and semiotics: The case of Fijjian bark-cloth decoration, to appear in Embedded&lt;br /&gt;
Symmetries, Proceedings of a symposium at the Amerind Foundation, Dragoon, Arizona, April 13-17, 2000, edited&lt;br /&gt;
by D. K. Washburn, University of New Mexico Press.&lt;br /&gt;
&lt;br /&gt;
[11] E. Mueller, Gruppentheoretische und Strukturanalytische Untersuchungen der Maurischen Ornamente aus der&lt;br /&gt;
Alhambra in Granada, Ph.D. diss., University of ZUrich, Riischlikon, 1944.&lt;br /&gt;
&lt;br /&gt;
[12] A. O. Shepard, The Symmetry of Abstract Design with Special Reference to Ceramic Decoration, Contribution&lt;br /&gt;
no. 47, Carnegie Institution of Washington Publications no. 574, 1948.&lt;br /&gt;
&lt;br /&gt;
[13 ] A. Speiser, Die Theorie der Gruppen endlicher Ordnung, 2 nd edition, Berlin: Springer, 1927.&lt;br /&gt;
&lt;br /&gt;
[14] D. K. Washburn and D. W. Crowe, Symmetries of Culture: Theory and Practice of Plane Pattern Analysis,&lt;br /&gt;
Seattle: University of Washington Press, 1988.&lt;br /&gt;
&lt;br /&gt;
[15] C. Zaslavsky, Africa Counts: Number and Pattern in African Culture, Boston: Prindle, Weber &amp;amp; Schmidt, 1973.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Links ==&lt;br /&gt;
=== Full Text === &lt;br /&gt;
http://archive.bridgesmathart.org/2001/bridges2001-1.pdf&lt;br /&gt;
&lt;br /&gt;
[[intern file]]&lt;br /&gt;
&lt;br /&gt;
=== Sonstige Links ===&lt;br /&gt;
http://archive.bridgesmathart.org/2001/bridges2001-1.html&lt;/div&gt;</summary>
		<author><name>Gbachelier</name></author>	</entry>

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